The reaction A+B → C was investigated in a series of experiments with different initial concentrations of the two reactants. The following initial rates were observed. What is the overall reaction order? 0 0 05 02 0 1 O 3 Experiment 1 Experiment 2 Experiment 3 Initial [A] 0.10 M 0.20 M 0.20 M Initial [B] 0.10 M 0.10 M 0.20 M Initial rate 1.60 x 10-2 mol L-1 s-1 3.20 x 10-2 mol L-1 5-1 3.20 x 10-2 mol L-1 S-1

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**Reaction Order Determination**

The reaction \( A + B \rightarrow C \) was investigated through a series of experiments with varying initial concentrations for the reactants. The goal was to determine the overall reaction order based on the observed initial rates.

### Initial Data

| Experiment | Initial [A] (M) | Initial [B] (M) | Initial Rate (mol L\(^{-1}\) s\(^{-1}\)) |
|------------|----------------|---------------|----------------------------------------|
| 1          | 0.10           | 0.10          | \( 1.60 \times 10^{-2} \)              |
| 2          | 0.20           | 0.10          | \( 3.20 \times 10^{-2} \)              |
| 3          | 0.20           | 0.20          | \( 3.20 \times 10^{-2} \)              |

### Reaction Order Options

- 0
- 5
- 2
- 1
- 3
- 4

*Observation of Rates:*

1. Doubling [A] (from Experiment 1 to 2) doubles the rate, suggesting a first-order dependence on A.
2. Doubling [B] (from Experiment 2 to 3) does not change the rate, suggesting a zero-order dependence on B.

**Conclusion:** The overall reaction order is 1 (first-order with respect to A, zero-order with respect to B).
Transcribed Image Text:**Reaction Order Determination** The reaction \( A + B \rightarrow C \) was investigated through a series of experiments with varying initial concentrations for the reactants. The goal was to determine the overall reaction order based on the observed initial rates. ### Initial Data | Experiment | Initial [A] (M) | Initial [B] (M) | Initial Rate (mol L\(^{-1}\) s\(^{-1}\)) | |------------|----------------|---------------|----------------------------------------| | 1 | 0.10 | 0.10 | \( 1.60 \times 10^{-2} \) | | 2 | 0.20 | 0.10 | \( 3.20 \times 10^{-2} \) | | 3 | 0.20 | 0.20 | \( 3.20 \times 10^{-2} \) | ### Reaction Order Options - 0 - 5 - 2 - 1 - 3 - 4 *Observation of Rates:* 1. Doubling [A] (from Experiment 1 to 2) doubles the rate, suggesting a first-order dependence on A. 2. Doubling [B] (from Experiment 2 to 3) does not change the rate, suggesting a zero-order dependence on B. **Conclusion:** The overall reaction order is 1 (first-order with respect to A, zero-order with respect to B).
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